Find the value of polynomial: 3x2 + 4x-2x2-x + x2-3x-1, where x = - 3

Find the value of polynomial: 3x2 + 4x-2x2-x + x2-3x-1, where x = - 3


The original formula = 2x2-1, when x = - 3, the original formula = 2 × (- 3) 2-1 = 17



It is known that the divisor is a quartic polynomial about X, which does not contain x ^ 3 term and X term. The divisor is 2x ^ 2-3x + 1, the quotient is ax ^ 2 + BX + 1, and the remainder is 0. Find the coefficients a and B, and find the quotient


(2x^2-3x+1)(ax^2+bx+1)
=2ax^4+(2b-3a)x^3+(2+a-3b)x^2+(b-3)x+1
Does not contain x ^ 3 and X items
2b-3a=0
b-3=0
The solution is as follows
b=3,a=2
The quotient is 2x ^ 2 + 3x + 1



If the product of the polynomials ax & # 178; + BX + 1 and 2x & # 178; - 3x + 1 does not contain x ^ 3, find a and B





It is known that the division formula of the polynomial x 3 power - 2x square + AX-1 is BX-1; the quotient formula is x square - x + 2; the remainder formula is 1; and the value of A.B


(BX-1)(X^2-X+2)+1=X^3-2X^2+AX-1
Expand the left and compare the two sides
Easy to get b = 1
A=1



If the system of equations 3x + 4Y = 2x-y = 5 has the same solution as 1 ax / 3 + 1 by / 2 = 5, then a = b=


y=2x-5
Substituting 3x + 4Y = 2
3x+8x-20=2
x=2
y=2x-5=-1
Substituting
2a/3+b=4 (1)
2a-b/2=5 (2)
(1)+(2)×2
14a/3=14
therefore
a=3
b=4-2a/3=2



Party A and Party B process 300 identical parts. Party A completes 6 parts in 10 minutes and Party B completes 6 parts in 5 minutes
1. Speed ratio of Party A and Party B to complete 300 parts 2. Time ratio of Party A and Party B to complete 300 parts


1. The speed ratio of Party A and Party B to complete 300 parts is 6 / 10:6 / 5 = 1:2
2. The time ratio of Party A and Party B to complete 300 parts is 1 △ (6 / 10): 1 ± (6 / 5) = 2:1



2 / 2x-1-3 / 2x + 5 = 4 / 10x-17 + 1,


If the title is (2x-1) / 2 - (2x + 5) / 3 = (10x-17) / 4 + 1, then:
When both sides are simultaneously × 12, 6 (2x-1) - 4 (2x + 5) = 3 (10x-17) + 12
It is reduced to - 26x = - 13
x=1/2



The two warehouses of a and B had the same amount of grain. After a transported 32.5 tons of grain to B, B was 3.6 times as much as a. how many tons of grain did a and B have


It turns out that a is 1 / 2 of the total amount
Later, a is 1 ÷ (1 + 3.6) = 5 / 23 of the total
The two warehouses have a total of 32.5 ÷ (1 / 2-5 / 23) = 115 tons
The original A and B each have 115x1 / 2 = 52.5 tons
A: originally, each party had 52.5 tons of grain



2.4x + 5.4 = 7.8
solve equations


x=(7.8-5.4)/2.4=1



There are () true fractions whose unit of fraction is 1 / 9, among which the largest is (), the smallest is (). The false fraction whose unit of fraction is 1 / 9 has ()
There are () true fractions whose unit of fraction is 1 / 9, of which the largest is () and the smallest is (). There are () false fractions whose unit of fraction is 1 / 9, of which the smallest is ()


There are 8 true scores; the largest is 8 out of 9; the smallest is 1 out of 9; there are countless false scores; the smallest is 10 out of 9